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Square Pyramid Calculator

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This pyramid calculator computes side, height, apothem, lateral edge, volume and surface area. Also, the calculator writes a step-by-step explanation on how to find the solution.

Square pyramid
Input any two elements of a pyramid and select a variable to find.
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Solve for
pyramid
Input two elements of a pyramid.
a =
 
h =
s =
 
e =
r =
 
d =
V =
 
A =
B =
 
L =
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Square Pyramid formulas
Square pyramid drawing displaying sides, edges, heights and radius.
$$ V = \frac{a^2 \, h }{3} $$
volume
$$ A_{base} = a^2 $$
base area
$$ A_{lat} = 2 \times a \times h $$
lateral area
$$ A_{tot} = A_{base} + A_{lateral} $$
total area
$$ r = \frac{a}{2} $$
base radius
$$ s^2 = h^2 + \frac{a^2}{4} $$
slant height
$$ e^2 = s^2 + \frac{a^2}{4} $$
lateral edge
$$ e^2 = h^2 + \frac{d^2}{4} $$
lateral edge
Square Pyramid - examples
ex 1:
The height of a square pyramid is 25, and its base area is 81. Determine the total surface area.
ex 2:
Find the total surface area of the square pyramid with a height of 8cm and a length of 12 cm.
ex 3:
Find the volume of the square pyramid with a height of 12cm and a lateral edge of 13cm.
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